Question

Factor the expression completely (show work)

5x^2-19x+12

Answer 1

What i am not understanding is the factors of 12 do not add up to get -19, that is what i need help with.

Answer 2

5 * 12 = 60

two factors of 60 that add to get -19? -4 and -15.

so

0 = 5x^2 - 15 x - 4x + 12
do some factoring

0 = 5x(x - 3) - 4 (x - 3)
now you see how have a common (x - 3) so you can factor that out.

0 = (x - 3) (5x - 4)

setting each one to 0 and solving for x, you get x = 3, -4/5

Answer 3

does that help you?

Answer 4

so we are multiplying the 5x * 12 to get 60 then finding the factors of 60 that add up to -19?

Answer 5

Yes.

Answer 6

okay i need an answer that looks like (x +_)(x__)

Answer 7

(x-4)(-15) ??

Answer 8

yup

Answer 9

awesome! Thank you!

Answer 10

Np!